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Finding the Fourth Proportional to 8,604, 11,872.36 and 4,775.58

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Solution

The fourth proportional to 8,604, 11,872.36 and 4,775.58 is: 6,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604 : 11,872.36 = 4,775.58 : x
  2. Step 2: Convert to fraction form
    8,604/11,872.36 = 4,775.58/x
  3. Step 3: Cross multiply
    8,604x = 11,872.36 × 4,775.58
  4. Step 4: Simplify right side
    8,604x = 56,697,404.97
  5. Step 5: Solve for x
    x = 56,697,404.97/8,604
  6. Step 6: Final answer
    x = 6,589.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.